#20160 ⟨a, b | aab=b, bbba=aaa⟩

Up:Monoids with two generators and two relations
Prev:#20159 ⟨a, b | aab=b, bbab=bbb⟩
Next:#20164 ⟨a, b | aab=b, bbba=baa⟩

Quick links

  1. Properties
  2. Rewriting system

Properties

Rewriting system

Format:
Word to reduce:
Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Reduction strategy:
Path to normal form: 1 
1
#RuleProof
1. a2b ⇒ b [1]
2. ba3 ⇒ ba [5]
3. b3a ⇒ a3 [2]
4. b4 ⇒ b [4]
5. a5 ⇒ a3 [3]
# ab:aab=b,bbba=aaa ab
aab=b
baaa=ba
bbba=aaa
bbbb=b
aaaaa=aaa